He had sustained serious head injuries even while wearing a ski helmet.
To coincide with his 50th birthday last January, the family issued a rare statement, saying they "are doing everything humanely possible" to help the seven-time world champion, and "that he is in the very best of hands".
"The treatment will begin on Tuesday morning and [he will] leave the establishment on Wednesday", said Le Parisien, which claims the former Ferrari star has already been treated at the hospital in southwestern Paris twice this spring.
Michael Schumacher's former Mercedes boss has called on the Formula One driver's family to provide more information about his condition.
He is reportedly being treated by cardiovascular surgeon Philippe Menasce, who is described as a "pioneer in cell surgery". Despite a slow recovery, continued treatment is said to be underway after Parisian news outlets indicated that Schumacher was being admitted to a French hospital to undergo a "secret treatment".
"Yes, I can assure you that he is conscious", the French daily quoted a nurse working at the Georges Pompidou Hospital.
Since September 2014, Schumacher has had specialist care at his Lake Geneva, Switzerland home.
Back in 2013, Schumacher was skiing off-piste in Méribel in the French Alps with his son Mick - who's followed in his father's footsteps and now races in Formula 2 - when he fell and hit the right side of his head on a rock.
Schumacher has been recuperating at home in Switzerland since and is visited only by close friends, none of whom have divulged specifics about his state of health.
Schumacher's family fiercely protects his privacy, with thick forest around his castle-like home and high surrounding walls providing sanctuary from fan and media intrusion.
Representatives and family members of Schumacher have not publicly commented on the treatment.
Schumacher remains motor racing's most successful driver, with a record 91 grand prix wins.
"There are millions of people out there who have a genuine affection for Michael, and that's not just his fans in Germany or fans of Mercedes Benz".